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In [[algebraic geometry]], a '''linear system of divisors''' is an algebraic generalization of the geometric notion of a [[family of curves]]; the dimension of the linear system corresponds to the number of parameters of the family.
These arose first in the form of a ''linear system'' of [[algebraic curve]]s in the [[projective plane]]. It assumed a more general form, through gradual generalisation, so that one could speak of '''linear equivalence''' of [[divisor (algebraic geometry)|divisor]]s ''D'' on a general [[Scheme (mathematics)|scheme]] or even a [[ringed space]] <math>(
Linear system of dimension 1, 2, or 3 are called a '''[[Pencil (mathematics)|pencil]]''', a '''net''', or a '''web''', respectively.
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